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Finding the Fourth Proportional to 209,678.97, 314,256 and 165,129.78

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Solution

The fourth proportional to 209,678.97, 314,256 and 165,129.78 is: 247,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,678.97 : 314,256 = 165,129.78 : x
  2. Step 2: Convert to fraction form
    209,678.97/314,256 = 165,129.78/x
  3. Step 3: Cross multiply
    209,678.97x = 314,256 × 165,129.78
  4. Step 4: Simplify right side
    209,678.97x = 51,893,024,143.68
  5. Step 5: Solve for x
    x = 51,893,024,143.68/209,678.97
  6. Step 6: Final answer
    x = 247,487.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.